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DeltaABC and DeltaDBC are situated on th...

`DeltaABC` and `DeltaDBC` are situated on the same base `BC` and on the same side of `BC`. `E` is any point on the side `BC`. Two line through the point `E` and parallel to `AB` and `BD` intersects the sides `AC` and `DC` at the points `F` and `G` respectively. Prove that `AD||FG`.

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The straight line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points D and E respectively. Then (AB)/(BD)=(AC)/(CE) .

In DeltaABC , AB = AC. The perpendiculars drawn from B and C to AC and AB respectively, intersect the sides AC and AB at the points E and F respectively. Prove that FE||BC.

ABCD is parallelogram A circle passing through the points A and B intersect the sides AD and BC at the points E and F repectively . Prove that the four points E, F , C ,D are concyclic.

In trapezium ABCD , AB and DC are parallel. A straight line parallel to AB intersects AD and BC at the points E and F respectively. Prove that DE:EA=CF:FB .

In DeltaABC a straight line parallel to BC intersects the sides AB and AC at the points P and Q respectively. If AP=QC , AB=12cm , AQ=2cm , then find the value of CQ .

The diagonals AC and BD of the parallelogram ABCD intersect each other at O . Any straight line passing through O intesects the sides AB and CD at the points P and Q respectively . Prove that OP = OQ.

AD is a median of triangleABC . A straight line parallel to BC intersect AB and AC at P and Q respectively. Prove that AD bisects PQ.

In DeltaABC , a straight line parallel to BC intersects the sides AB and AC at the points L and M . If the length of AM be thrice of the length of AL , then BL:CM=

In DeltaABC, angleB=angleC. If AB = 8 cm and if the line segment through D, the mid-point of AB and parallel to BC intersects AC at E, then CE =

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CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. DeltaABC and DeltaDBC are situated on the same base BC and on the same...

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  2. In DeltaPQR and DeltaDEF, (PQ)/(DE)=(QR)/(EF)=(RP)/(FD). Then which on...

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  3. In DeltaABC and DeltaDEF if /B=/E and /C=/F, then which of the followi...

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  4. In DeltaPQR and DeltaDEF,/Q=/E=42^(@), (PQ)/(DE)=(QR)/(EF) and if /F=6...

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  5. In the right-angled triangles DeltaPQR and DeltaDEF, /Q=/E= right angl...

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  6. DeltaABC and DeltaBDE are two equilateral triangles. If D is the mid-p...

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  7. If the ratio of the sides of two similar triangles be 4:9, then ratio ...

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  8. DeltaPQR~DeltaDEF and their areas are 49 sq-cm and 121 sq-cm respectiv...

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  9. Write the following sentences true or false: Any two identical image a...

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  10. C and B are two points on the straight line XY, P is an external point...

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  11. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

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  12. Fill the blank :All (equilateral/isosceles) triangle are always ident...

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  13. state true or false; Two equiangular triangles are always congruent.

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  14. state true or false; If the two sides of two triangles are in proport...

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  15. If the areas of two similar triangles be equal, they are .

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  16. The ratio of the areas of two similar triangels is equal to the of the...

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  17. Prove that the perimeters of two similar triangles are proportional to...

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  18. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

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  19. Fill the blank :All circles are(uniform/identical)

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  20. Fill the blank :All square are(uniform/identical)

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  21. Write the following sentences true or false: Any two identical figure ...

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